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3 years ago

Factor: x2 - 4x + 24

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

Answer:

x²-4x+24 is not factorable with rational numbers.

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What is the rule for 0.7, 1.7, 2.7, 3.7

larisa86 [58]

Add 1

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1.7+1= 2.7

etc., etc.

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4 years ago

2 3/4 + 4 2/3 = 8 1/3 + 8 5/7 =

satela [25.4K]

7 5/12 or 7.41
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3 years ago

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Step-by-step explanation:

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3 years ago

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4 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

bagirrra123 [75]

Answer:

In order to maximize profit, the company should sell each widget at $22.68.

Step-by-step explanation:

The amount of profit y made by the company for selling widgets at x price is given by the equation:

$y=-34x^2+1542x-10037$

And we want to find to price for which the company should sell in order to maximize the profit.

Since our equation is a quadratic with a negative leading coefficient, its maximum will occur at the vertex point.

The vertex of a quadratic is given by the formulas:

$\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, a = -34, b = 1542, and c = -10037.

Find the x-coordinate of the vertex:

$\displaystyle x=-\frac{(1542)}{2(-34)}=\frac{771}{34}\approx \$22.68$

So, in order to maximize profit, the company should sell each widget at $22.68.

Extra Notes:

In order to find the maximum profit, substitute the price back into the equation:

$\displaystyle y\left(\frac{771}{34}\right)\approx\$7446.56$

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3 years ago